JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Hard

1 of 1

Application +4 | -1

The ordered pair

(x, y)

satisfying

1-2 x-x^2=\tan ^2(x+y)+\cot ^2(x+y)

View answer and explanation

Correct option: C

\left(-1,(2 n+1) \frac{\pi}{4}+1\right)

Option C ((-1,(2n+1)

\frac{π}{4}

+1)) is correct because the equation holds true only when both sides are equal to 2, which occurs when x = -1 and y = (2n+1)

\frac{π}{4}

+1.

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